Search a number
-
+
45491130 = 23251937719
BaseRepresentation
bin1010110110001…
…0001110111010
310011121012002200
42231202032322
543121204010
64303011030
71061445126
oct255421672
9104535080
1045491130
1123751183
1213299a76
13956a039
146082586
153ed8cc0
hex2b623ba

45491130 has 96 divisors (see below), whose sum is σ = 128044800. Its totient is φ = 11166336.

The previous prime is 45491101. The next prime is 45491137. The reversal of 45491130 is 3119454.

45491130 is a `hidden beast` number, since 4 + 549 + 113 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 45491094 and 45491103.

It is not an unprimeable number, because it can be changed into a prime (45491137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62911 + ... + 63629.

It is an arithmetic number, because the mean of its divisors is an integer number (1333800).

Almost surely, 245491130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45491130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64022400).

45491130 is an abundant number, since it is smaller than the sum of its proper divisors (82553670).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45491130 is a wasteful number, since it uses less digits than its factorization.

45491130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 45491130 is about 6744.7112614255. The cubic root of 45491130 is about 356.9786490067.

The spelling of 45491130 in words is "forty-five million, four hundred ninety-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 37 38 45 57 74 90 95 111 114 171 185 190 222 285 333 342 370 555 570 666 703 719 855 1110 1406 1438 1665 1710 2109 2157 3330 3515 3595 4218 4314 6327 6471 7030 7190 10545 10785 12654 12942 13661 21090 21570 26603 27322 31635 32355 40983 53206 63270 64710 68305 79809 81966 122949 133015 136610 159618 204915 239427 245898 266030 399045 409830 478854 505457 614745 798090 1010914 1197135 1229490 1516371 2394270 2527285 3032742 4549113 5054570 7581855 9098226 15163710 22745565 45491130